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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

Every student who studies art in a certain school receives exactly one of the grades A, B, C, or D. If 1 over 5 of the students receive A’s, 1 over 4 receive B’s, 1 over 2 receive C’s, and 10 students receive D’s, how many students in the school study art?

Answer Choices

Right! (Applause.)

Explanation

The students who receive A’s, B’s, and C’s account for (1 over 5) + (1 over 4) + (1 over 2) of the students, that is, 19 over 20. This leaves 1 over 20 of the students receiving D’s. You know that 10 students receive D’s, so 10 is 1 over 20 of the total. This means that the total number of students is 10 times 20, or 200.

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